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Simplifying k + -3k = 6k + 5 Combine like terms: k + -3k = -2k -2k = 6k + 5 Reorder the terms: -2k = 5 + 6k Solving -2k = 5 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -2k + -6k = 5 + 6k + -6k Combine like terms: -2k + -6k = -8k -8k = 5 + 6k + -6k Combine like terms: 6k + -6k = 0 -8k = 5 + 0 -8k = 5 Divide each side by '-8'. k = -0.625 Simplifying k = -0.625
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